Due: Tuesday, April 11, 2017, 11:59 pm


The purpose of this lab is to give you practice in creating your own classes. In particular, we will convert both the lsystem and the turtle interpreter modules into classes. Ultimately, this will make it easier to build a more complex system.

If you have not already done so, take a look at the book 'The Algorithmic Beauty of Plants', which is the basis for this series of lab exercises. You can download the entire book from the algorithmic botany site

The other piece we'll be implementing this week is handling multi-rule L-systems. Adding this capability will enable you to draw more complex L-system structures.


Most of the exercises in lab will involve building up an L-system class. This week it will be important for you to use the method names provided. The next several labs will expect the Lsystem and TurtleInterpreter classes to have certain methods with particular names.

  1. Create a new working folder and a new lsystem.py file. Label this one as version 2. The lsystem.py file will hold the Lsystem class and a test function for it.
  2. Begin a class called Lsystem. A class has a simple structure. It begins with the class declaration, and all methods are indented relative to the class definition, similar to a function.

    Do not forget the class docstrings and method docstings.

    class Lsystem:

    Then we define the __init__() method, which is executed when a Lsystem object is created. The init method should set up the fields of a class and give them reasonable initial values. Init methods often take optional arguments. You can make an argument optional by assigning a value to it in the argument list of the method declaration. For example, the following function has two arguments, the second of which is optional with a default value of 5.

      def boo( a, b = 5 ):
          print a, " ", b

    The Lsystem init method should have two arguments: self, and an optional filename. If the method receives a filename, it should read Lsystem information from the file by calling the read method of self (which you'll create below), passing the filename as the argument.

    def __init__(self, filename=None):

    The Lsystem init should create two fields: base and rules. The field base should be initialized to the empty string. The field rules should be initialized to an empty list. To create a field of a class, put the prefix self. in front of the name of the field and assign something to it. The line of code below creates the field base and assigns it the empty string.

    self.base = ''

    Here is the template for the init method

      def __init__( self, filename = None ):
          # assign to the field base, the empty string
          # assign to the field rules, the empty list
          # if the filename variable is not equal to None
              # call the read method of self with filename as the argument
  3. Create mutator and accessor methods for the base string: setBase(self, newbase), getBase(self). The setBase method should assign the new base string to the base field of self. The getBase method should return the base field of self.
  4. Create the method addRule(self, newrule), which should add the newrule to the rules field of self (reminder: newrule is a list with two strings in it). Look at the version 1 lsystem if you need to remember how to write the method. (Note that we are not going to include getRule because we won't be needing it this week and it would actually need to be removed next week.)
  5. Create a read(self, filename) method that opens the file, reads in the Lsystem information, resets the base and rules fields of self, and then store the information from the file in the appropriate fields (you should use the mutators self.setBase and self.addRule to do that). You can copy and paste the function code from the version 1 lsystem.py file, but it will require some modification. For example, you don't need to create a new Lsystem (self already exists) and you'll need to use the new accessor methods.

    You can use the following template

      def read( self, filename ):
          # assign to a variable (e.g. fp) the file object created with filename in read mode
          # assign to a variable (e.g. lines) the list of lines in the file
          # call the close method of the file
          # for each element in the lines list
              # assign to a variable (e.g. words) the loop variable split on spaces
              # if the first item in words is equal to the string 'base'
                  # call the setBase method of self with the new base string
              # else if the first item in words is equal to the string 'rule'
                  # call the addRule method of self with the new rule

    Once you are done with all of the above steps, download and run this test function. It should nicely print out a single rule L-system read from a file and then print out a second L-system created in the test program.

  6. In order to handle multiple rules, we need to write our own replace method for an L-system. The algorithm template is below. We scan through the string, and for each character we test if there is a rule. If a rule exists, we add the replacement to a new string, otherwise we add the character itself to the new string.
      def replace(self, inputString):
          # assign to a local variable (e.g. newString) the empty string
          # for each character c in the input string (inputString)
              # set a local variable (e.g. found) to False
              # for each rule in the rules field of self
                  # if the symbol in the rule is equal to the character
                      # add to newString the replacement from the rule
                      # set found to True
                      # break
              # if not found
                  # add to newString the character c
          # return newstring
  7. Create a buildString(self, iterations) method. It will be almost identical to the buildString function from version 1. The code outline is below.
      def buildString(self, iterations):
          # assign to a local variable (e.g. newString) the base field of self
          # for the number of iterations
              # assign to newstring the result of calling the replace method of self
          # return newstring
  8. Copy the following main function and put it at the bottom of your Lsystem class file. Call it like we did last week. (Note: This main function really is a function, and is not a method in any class.)

    python lsystem.py systemA1.txt 3 strA.txt

    Be sure to put an import sys at the top of your file.

      def main(argv):
          if len(argv) < 4:
              print 'Usage: lsystem.py <filename> <iterations> <output file>'
          filename = argv[1]
          iterations = int(argv[2])
          outfile = argv[3]
          lsys = Lsystem()
          lsys.read( filename )
          lstr = lsys.buildString( iterations )
          fp = file( outfile, 'w' )
      if __name__ == "__main__":

    You can download and run the file on any of the following examples. Systems C through G require multiple rules.

  9. Create a new file called turtle_interpreter.py. Label it as version 2. You'll want to import the turtle package, and probably the random and sys packages as well. Begin the class definition for a TurtleInterpreter class.

    class TurtleInterpreter:

  10. Create an __init__ method with the definition below. The init should call turtle.setup(width = dx, height = dy ) and then set the tracer to False (if you wish).
      def __init__(self, dx = 800, dy = 800):
          # call turtle.setup
          # set the turtle tracer to false (optional)
  11. Create a drawString method for the TurtleInterpreter class. You can copy and paste the drawString function from version 1 except that the new method definition will need self as the first argument (and you will need to remember to indent it).

    def drawString(self, dstring, distance, angle):

  12. Copy the hold function and paste it into your class. Again, you just need to indent the function so it is part of the class block and add self as the first argument to the definition.
  13. One of the goals of building the turtle interpreter is to encapsulate all of the turtle commands. That is, our goal is to use turtle only in turtle_interpreter.py and nowhere else (and so turtle should never need to be imported in any other Python files in this project). Therefore, we need to make some turtle interpreter methods that let us place and orient the turtle and set its color.

    Add the following methods to your turtle interpreter class.

    • def place(self, xpos, ypos, angle=None): - the method should pick up the pen, place the turtle at location (xpos, ypos), orient the turtle if the angle argument is not None, and then put down the pen.
    • def orient(self, angle): - the method should set the turtle's heading to the given angle.
    • def goto(self, xpos, ypos): - the method should pick up the turtle, send the turtle to (xpos, ypos) and then put the pen down.
    • def color(self, c): - the method should call turtle.color() to set the turtle's color to the given argument.
    • def width(self, w): - the method should call turtle.width() set the turtle's width to the given argument.
  14. Download the test function and run it using one of the 2-rule lsystems as an argument (e.g. systemC.txt, systemD.txt, or systemF.txt).

When you are done with the lab exercises, you may begin Project 8.

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